45853604496000 has 1024 divisors, whose sum is σ = 198239130086400. Its totient is φ = 10197533491200.

The previous prime is 45853604495957. The next prime is 45853604496013. The reversal of 45853604496000 is 69440635854.

45853604496000 is a `hidden beast` number, since 4 + 5 + 8 + 536 + 0 + 4 + 49 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111683092 + ... + 112092908.

It is an arithmetic number, because the mean of its divisors is an integer number (193592900475).

Almost surely, 2^{45853604496000} is an apocalyptic number.

45853604496000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45853604496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99119565043200).

45853604496000 is an abundant number, since it is smaller than the sum of its proper divisors (152385525590400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45853604496000 is a wasteful number, since it uses less digits than its factorization.

45853604496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409899 (or 409871 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 45853604496000 in words is "forty-five trillion, eight hundred fifty-three billion, six hundred four million, four hundred ninety-six thousand".